Question

Which among the following statements are connected by logical connective 'exclusive OR'
$A:$ An integer greater than $1$ is prime or composite.
$B:$ sun rises or moon rises.
$C:$ You can go through steps or lift.

• A. $A$ and $C$
• B. $B$ and $C$
• C. $A$ and $B$
• D. $A,B$ and $C$

Answer 1

The correct option is D $A,B$ and $C$

$A:$ An integer greater than $1$ is prime or composite.
Here, selection of one excludes the selection of other i.e., both sub statements are not true simultaneously, so it is 'exclusive OR.'

$B:$ sun rises or moon rises
Here, both sub statements are not true simultaneously, so it is 'exclusive OR.'

$C:$ You can go through steps or lift
Here, selection of one excludes the selection of other i.e., both sub statements are not true simultaneously, so it is 'exclusive OR.'